Search a number
-
+
10803456 = 2834521
BaseRepresentation
bin101001001101…
…100100000000
3202022212120000
4221031210000
510231202311
61023320000
7160553646
oct51154400
922285500
1010803456
116109884
123750000
1323134a1
141613196
15e36056
hexa4d900

10803456 has 90 divisors (see below), whose sum is σ = 32275782. Its totient is φ = 3594240.

The previous prime is 10803451. The next prime is 10803461. The reversal of 10803456 is 65430801.

It is an interprime number because it is at equal distance from previous prime (10803451) and next prime (10803461).

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 2509056 = 2880^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10803451) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 20476 + ... + 20996.

Almost surely, 210803456 is an apocalyptic number.

10803456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10803456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16137891).

10803456 is an abundant number, since it is smaller than the sum of its proper divisors (21472326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10803456 is an frugal number, since it uses more digits than its factorization.

10803456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10803456 is about 3286.8611166278. The cubic root of 10803456 is about 221.0654652055.

The spelling of 10803456 in words is "ten million, eight hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 521 576 648 768 864 1042 1152 1296 1563 1728 2084 2304 2592 3126 3456 4168 4689 5184 6252 6912 8336 9378 10368 12504 14067 16672 18756 20736 25008 28134 33344 37512 42201 50016 56268 66688 75024 84402 100032 112536 133376 150048 168804 200064 225072 300096 337608 400128 450144 600192 675216 900288 1200384 1350432 1800576 2700864 3601152 5401728 10803456